8 citations · 8 across the 4 of their papers we have counts for
5 papers
Two dimensional covering systems and possible prime producing
Andrew Granville, Francesco Pappalardi
We exhibit a new application of two dimensional covering systems, examples of integer pairs for which has a prime divisor from some given finite set of primes, for…
It is not "Bézout's identity"
Andrew Granville
Given two non-zero integers and there exist integers and for which . An increasing number of mathematicians have been calling this `Bézout's identity'…
The Frobenius postage stamp problem, and beyond
Andrew Granville, George Shakan
Let be a finite subset of , which generates additively. We provide a precise description of the -fold sumsets for sufficiently large, w…
Best possible densities of Dickson m-tuples, as a consequence of Zhang-Maynard-Tao
Andrew Granville, Daniel M. Kane, Dimitris Koukoulopoulos +1
We determine for what proportion of integers one now knows that there are infinitely many prime pairs as a consequence of the Zhang-Maynard-Tao theorem. We consider t…
Poisson statistics via the Chinese remainder theorem
A. Granville, P. Kurlberg
We consider the distribution of spacings between consecutive elements in subsets of Z/qZ where q is highly composite and the subsets are defined via the Chinese remainder theorem.…